Answer:
1/2925 = 0.0003 = 0.03% probability that you, Rebecca, and John are chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the people are chosen is not important, so the combinations formula is used to solve the question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
Only 1 outcome in which these 3 people are selected, so [tex]D = 1[/tex]
Total outcomes:
3 people from a set of 27, so
[tex]T = C_{27,3} = \frac{27!}{3!(27-3)!} = 2925[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{2925} = 0.0003[/tex]
1/2925 = 0.0003 = 0.03% probability that you, Rebecca, and John are chosen.
